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Finding the Fourth Proportional to 18,425.07, 27,619.71 and 7,897.83

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Solution

The fourth proportional to 18,425.07, 27,619.71 and 7,897.83 is: 11,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,425.07 : 27,619.71 = 7,897.83 : x
  2. Step 2: Convert to fraction form
    18,425.07/27,619.71 = 7,897.83/x
  3. Step 3: Cross multiply
    18,425.07x = 27,619.71 × 7,897.83
  4. Step 4: Simplify right side
    18,425.07x = 218,135,774.23
  5. Step 5: Solve for x
    x = 218,135,774.23/18,425.07
  6. Step 6: Final answer
    x = 11,839.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.